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22 December, 23:00

How to algebraically factor a polynomial, for example 3x²+7x+2

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  1. 22 December, 23:12
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    Try to get it into form

    (ax+b) (cx+d)

    a, b, c, d can be negative or positive

    3x^2+7x+2

    2 and 7 are positive so b and d will be positive as well

    3 is prime so we have to have

    (3x+?) (1x+?)

    2 is also prime

    try

    (3x+2) (1x+1), expanded it is 3x^2+5x+2, nope

    (3x+1) (x+2), expanded is 3x^2+7x+2, yep

    mostly a trial and error sort of thing

    after some practice, it might get easier for you to see
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